{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e0277178",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np               # 数学计算库，用于处理数组和数值计算\n",
    "import scipy.integrate as intgr  # 科学计算库，用于求解微分方程\n",
    "import matplotlib.pyplot as plt  # 绘图库，用于数据可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6596e17c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "steady state at (0, 0): eigenvalues = [ 1. -1.]\n",
      "steady state at (1.0, 1.0): eigenvalues = [0.+1.j 0.-1.j]\n"
     ]
    }
   ],
   "source": [
    "# 设置模型参数（简单值用于演示）\n",
    "α = β = δ = γ = 1.     # α: 猎物增长率, β: 捕食率, δ: 捕食者转化率, γ: 捕食者死亡率\n",
    "\n",
    "def mat(X, Y):    # 计算雅可比矩阵（描述系统在平衡点附近的行为）\n",
    "    M = np.array([[α-β*Y, -β*X],  # 猎物方程对X和Y的偏导\n",
    "                  [δ*Y, δ*X-γ]])  # 捕食者方程对X和Y的偏导\n",
    "    return M\n",
    "\n",
    "# 定义系统的两个平衡点（种群数量不变的状态）\n",
    "X0, Y0 = 0, 0    # steady state at (0, 0)       # 第一个平衡点：两个种群都灭绝\n",
    "X1, Y1 = γ/δ, α/β    # the other steady state   # 第二个平衡点：猎物=捕食者死亡率/转化率，捕食者=猎物增长率/捕食率\n",
    "\n",
    "# 分析每个平衡点的稳定性（通过特征值判断）\n",
    "for (X,Y) in [(X0,Y0), (X1,Y1)]:\n",
    "    w, v = np.linalg.eig(mat(X,Y))    # this function calculates all eigenvalues and eigenvectors计算特征值和特征向量\n",
    "    print(f'steady state at {(X, Y)}: eigenvalues = {w}')  # 特征值实部>0不稳定，纯虚数为周期振荡"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a69c654e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建网格点用于绘制流线图（显示系统在不同点的变化方向）\n",
    "x_points = np.arange(0.1, 2., 0.2)    # grid lines for x-axis X轴网格点：从0.1到2，步长0.2\n",
    "y_points = np.arange(0.1, 2., 0.2)    # grid lines for y-axis Y轴网格点：从0.1到2，步长0.2\n",
    "x_grid, y_grid = np.meshgrid(x_points, y_points)    # generate a grid of x, y values 生成网格坐标矩阵\n",
    "\n",
    "# 计算每个网格点上的变化速率（微分方程右侧）\n",
    "x_flow = x_grid * (α - β * y_grid) # 猎物的变化率：X*(α - β*Y)\n",
    "y_flow = y_grid * (δ * x_grid - γ) # 捕食者的变化率：Y*(δ*X - γ)\n",
    "\n",
    "# 捕食者的变化率：Y*(δ*X - γ)\n",
    "plt.figure()\n",
    "plt.streamplot(x_grid, y_grid, x_flow, y_flow)  # 绘制箭头表示变化方向\n",
    "plt.xlim(0, 2) # 设置X轴范围\n",
    "plt.ylim(0, 2) # 设置Y轴范围\n",
    "plt.xlabel(r'$X$') # X轴标签\n",
    "plt.ylabel(r'$Y$') # Y轴标签\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b9a2bf75",
   "metadata": {},
   "outputs": [],
   "source": [
    "class LotkaVolterra:\n",
    "    \"\"\"\n",
    "    simulation the Lotka-Volterra system. 模拟Lotka-Volterra捕食-被捕食系统\n",
    "    \"\"\"\n",
    "    \n",
    "    def __init__(self, param, init, record=True):\n",
    "        \"\"\"\n",
    "        initialize by assigning parameter values and initial values.初始化系统参数和初始状态\n",
    "        inputs:\n",
    "        param: list, parameters of the model: α,β,δ,γ (in this order) 参数列表 \n",
    "        init: list, initial abundance of prey and predator species (in this order) 初始种群数量 [猎物, 捕食者]\n",
    "        record: boolean, whether to record history of abundances at time points 是否记录模拟历史\n",
    "        \"\"\"\n",
    "        self.param = param    # list of parameters 存储参数\n",
    "        self.abundance = np.asarray(init)    # current abundance of each species  当前种群数量\n",
    "        self.time = 0.                  # time since beginning of simulation 当前模拟时间\n",
    "        self.record = record            # whether to record time series 是否记录历史数据\n",
    "        if self.record:\n",
    "            self.time_hist = [0.]                  # list of time points 时间记录列表\n",
    "            self.abundance_hist = [self.abundance.copy()]     # list of abundances at time points 种群数量记录列表\n",
    "    \n",
    "    def equations(self, x, t):\n",
    "        \"\"\"\n",
    "        calculate time derivatives of abundances in the Lotka-Volterra system. 定义微分方程：计算种群数量的变化率\n",
    "        inputs:\n",
    "        x: 1-d array, current abundances of both species.x: 当前种群数量 [X, Y]\n",
    "        t: float, current time.\n",
    "        outputs:\n",
    "        dxdt: 1-d array, time derivatives of abundances.两个种群的变化率\n",
    "        \"\"\" \n",
    "        X, Y = x    # parse variables, X is prey and Y is predator 解析变量：X=猎物，Y=捕食者\n",
    "        dXdt = self.param[0] * X - self.param[1] * X * Y   # 猎物方程：增长 - 被捕食\n",
    "        dYdt = self.param[2] * X * Y - self.param[3] * Y   # 捕食者方程：捕食增长 - 死亡\n",
    "        return [dXdt, dYdt]\n",
    "    \n",
    "    def run(self, tmax, dt):\n",
    "        \"\"\"\n",
    "        solve equations until time `tmax` since the beginning of the simulation.运行模拟直到指定时间\n",
    "        inputs:\n",
    "        tmax: float, time since the beginning of the simulation.模拟总时间\n",
    "        dt: float, time step by which solution is calculated 时间步长（计算精度）\n",
    "        \"\"\"\n",
    "        T = tmax - self.time    # time remaining to be solved 剩余需要模拟的时间\n",
    "        new_times = np.arange(0, T+dt, dt)    # new time points at every step dt 生成时间点序列\n",
    "        x0 = self.abundance    # current abundances as initial values to the solver 当前状态作为初始值\n",
    "        sol = intgr.odeint(self.equations, x0, new_times)    # solve equations using integrator 使用odeint求解微分方程（数值积分）\n",
    "        if self.record:\n",
    "            self.time_hist.extend(self.time + new_times[1:])    # save time points 保存模拟结果\n",
    "            self.abundance_hist.extend(sol[1:])    # save abundances at given time points （跳过初始时刻，避免重复）\n",
    "        self.time += new_times[-1]    # update time to latest  更新当前状态\n",
    "        self.abundance = sol[-1]    # update abundances to latest 更新当前时间"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bfc93d4c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "current time = 10.0, current populations = [2.76132728 0.87880176]\n",
      "current time = 10.0, current populations = [0.04278687 1.74284734]\n",
      "current time = 10.0, current populations = [0.35820471 0.08774234]\n",
      "current time = 10.0, current populations = [3.01628201 0.9321881 ]\n",
      "current time = 10.0, current populations = [2.41332177 0.58982885]\n",
      "current time = 10.0, current populations = [2.07596801 1.13972801]\n",
      "current time = 10.0, current populations = [2.56685727 0.99866487]\n",
      "current time = 10.0, current populations = [1.17288287 1.30880288]\n",
      "current time = 10.0, current populations = [0.11122874 0.45330916]\n",
      "current time = 10.0, current populations = [1.20561169 0.45421739]\n"
     ]
    }
   ],
   "source": [
    "α = 5    # growth rate of the prey\n",
    "β = α    # feeding rate of the predator 捕食率 = 猎物增长率\n",
    "δ = 1    # growth rate of the predator per prey available 捕食者转化率\n",
    "γ = 1    # death rate of the predator 捕食者死亡率\n",
    "\n",
    "num = 10    # number of trajectories to simulate 模拟的轨迹数量\n",
    "lv_list = []    # list of simulations with different initial values 存储所有模拟实例的列表\n",
    "\n",
    "T = 10.    # total time to integrate the trajectories 每条轨迹的模拟时长\n",
    "dt = 0.001   # time steps to evaluate the trajectories at 时间步长（计算精度）\n",
    "\n",
    "# 运行多条模拟轨迹（不同初始条件）\n",
    "for i in range(num):\n",
    "    X0, Y0 = np.random.rand(2)    # random initial values between 0 and 1 随机初始值（0-1之间均匀分布）\n",
    "    lv = LotkaVolterra([α, β, δ, γ], [X0, Y0]) # 创建模拟实例\n",
    "    lv.run(T, dt) # 运行模拟\n",
    "    print(f'current time = {lv.time}, current populations = {lv.abundance}')\n",
    "    lv_list.append(lv) # 保存到列表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c1e31c15",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制相图（所有轨迹在X-Y平面上的投影 \n",
    "plt.figure()\n",
    "for lv in lv_list:\n",
    "    time_hist = lv.time_hist    # time history, excluding t=0  \n",
    "    num_hist = np.array(lv.abundance_hist)    # abundance history of all species 获取历史数据\n",
    "    plt.plot(num_hist[:,0], num_hist[:,1])    # plot prey vs predator abundances 绘制猎物vs捕食者曲线\n",
    "plt.xlabel(r'$X$')\n",
    "plt.ylabel(r'$Y$')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fc85f2ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(time_hist, num_hist[:,0], label='X')    # plot prey abundance vs time\n",
    "plt.plot(time_hist, num_hist[:,1], label='Y')    # plot predator abundance vs time\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('abundance')\n",
    "plt.legend(loc='upper right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1e58647f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
